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Finding the Third Proportional to 101,831,314 and 226,711,448

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Solution

The third proportional to 101,831,314 and 226,711,448 is: 504,737,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,831,314 : 226,711,448 = 226,711,448 : x
  2. Step 2: Convert to fraction form
    101,831,314/226,711,448 = 226,711,448/x
  3. Step 3: Cross multiply
    101,831,314x = 226,711,448 × 226,711,448
  4. Step 4: Simplify right side
    101,831,314x = 51,398,080,654,256,704
  5. Step 5: Solve for x
    x = 51,398,080,654,256,704/101,831,314
  6. Step 6: Final answer
    x = 504,737,478.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.